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Finding the Fourth Proportional to 73,171.92, 109,745.06 and 20,568.90

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Solution

The fourth proportional to 73,171.92, 109,745.06 and 20,568.90 is: 30,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,171.92 : 109,745.06 = 20,568.90 : x
  2. Step 2: Convert to fraction form
    73,171.92/109,745.06 = 20,568.90/x
  3. Step 3: Cross multiply
    73,171.92x = 109,745.06 × 20,568.90
  4. Step 4: Simplify right side
    73,171.92x = 2,257,335,164.63
  5. Step 5: Solve for x
    x = 2,257,335,164.63/73,171.92
  6. Step 6: Final answer
    x = 30,849.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.